Mix flour and eggs in a bowl to form a dough. Knead until smooth, then roll out thinly and cut into noodles.

Boil noodles in salted water for 2-3 minutes until tender, then drain and set aside.

Slice carrot, bell pepper, and green onions. Separate the green onion whites from the greens.

Heat oil in a large wok or skillet over medium-high heat. Add the broccoli, carrot, and red bell pepper. Stir-fry for about 5 minutes.

Add the cooked noodles and the white parts of the green onions to the wok. Stir-fry for another 2 minutes.

In a small bowl, mix soy sauce, sesame oil, and sugar to create the sauce.

Pour the sauce over the noodle-vegetable mixture. Toss well to coat everything in the sauce and heat through.

Serve hot, garnished with green onion greens and a sprinkle of sesame seeds.